I have a similar situation with my Mum, who is 78 and has lived alone since my stepfather died some five years ago. Ideally I'd like Mum to move away from Southampton, where she currently lives, to be nearer us in Portsmouth, but she says she doesn't want the hassle of organising a move at her age.
I'd like to help out but can't, because I have a full-time job. All I can do is to make sure Mum has all the relevant information she needs to enable her to make informed choices - she has her wits about her, no question of senility here - and just wait until such time as she either decided she wants to move or the hospital say she is physically unable to live by herself any more.